Chapter 12.3, Problem 42S

To determine

To calculate the probability to draw red or orange chips from the bowl

Answer to Problem 42S

The probability to get red or orange chips is 50%

Explanation of Solution

Given information:

Number of red chips a bowl contain is 3

Number of green chips a bowl contain is 6

Number of yellow chips a bowl contain is 5

Number of orange chips a bowl contain is 8

Formula used:

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}$

Calculation:

Total number of chips in a bowl = $3+6+5+8=22$

There are $3+8$ or 11 chips that are red or orange

Probability to draw red or orange chips from the bowl is calculated as,

  $\begin{array}{l}\text{P}\left(\text{red or orange chips}\right)=\frac{\text{Number of red or orange chips}}{\text{Total number of chips}}\times 100\%\\ \text{P}\left(\text{red or orange chips}\right)=\frac{3+8}{22}\times 100\%\\ \text{P}\left(\text{red or orange chips}\right)=\frac{11}{22}\times 100\%\\ \text{P}\left(\text{red or orange chips}\right)=0.5\times 100\%\\ \text{P}\left(\text{red or orange chips}\right)=50\%\end{array}$

Therefore, the probability to get red or orange chips is 50%